What is the area of this parallelogram. The base is 6 and the width is 7 if you draw a line that is 5 feet what is the height
To find the height of the parallelogram, the line that you draw perpendicular to the base creates a right triangle.
Using the Pythagorean Theorem, we can find the height:
Height^2 + 3.5^2 = 5^2
Height^2 + 12.25 = 25
Height^2 = 12.75
Height ≈ 3.57 feet
Now that we have the height, we can find the area of the parallelogram:
Area = base x height
Area = 6 x 3.57
Area ≈ 21.43 square feet
Therefore, the area of the parallelogram is approximately 21.43 square feet.